A semi-locally scaled eddy viscosity formulation for LES wall models and flows at high speeds

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Abstract

We show that the mean wall-shear stresses in wall-modeled large-eddy simulations (WMLES) of high-speed flows can be off by up to ≈ 100 % with respect to a DNS benchmark when using the van-Driest-based damping function, i.e., the conventional damping function. Errors in the WMLES-predicted wall-shear stresses are often attributed to the so-called log-layer mismatch, which, albeit also an error in wall-shear stresses τw, is an error of about 15 %. The larger error identified here cannot be removed using the previously developed remedies for the log-layer mismatch. This error may be removed by using the semi-local scaling, i.e., lν=μ/ρτw, in the damping function, where μ and ρ are the local mean dynamic viscosity and density, respectively.

Original languageEnglish (US)
Pages (from-to)617-627
Number of pages11
JournalTheoretical and Computational Fluid Dynamics
Volume32
Issue number5
DOIs
StatePublished - Oct 1 2018

All Science Journal Classification (ASJC) codes

  • Computational Mechanics
  • Condensed Matter Physics
  • Engineering(all)
  • Fluid Flow and Transfer Processes

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